Finding the Third Proportional to 137,802 and 206,701.50

Step by Step Solution

1. Step 1: Write the proportion equation
   137,802 : 206,701.50 = 206,701.50 : x
2. Step 2: Convert to fraction form
   137,802/206,701.50 = 206,701.50/x
3. Step 3: Cross multiply
   137,802x = 206,701.50 × 206,701.50
4. Step 4: Simplify right side
   137,802x = 42,725,510,102.25
5. Step 5: Solve for x
   x = 42,725,510,102.25/137,802
6. Step 6: Final answer
   x = 310,050.00